%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN045+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:07:01 PM UTC 2025 % Result : Theorem 3.52s 3.69s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN045+1 : TPTP v9.2.0. Released v2.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 15:34:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.52/3.69 SZS status Theorem for theBenchmark.p % 3.52/3.69 SZS output start Proof for theBenchmark.p % 3.52/3.69 Clause #0 (by assumption #[]): Eq (Not (Iff (Or p (And q r)) (And (Or p q) (Or p r)))) True % 3.52/3.69 Clause #1 (by clausification #[0]): Eq (Iff (Or p (And q r)) (And (Or p q) (Or p r))) False % 3.52/3.69 Clause #2 (by clausification #[1]): Or (Eq (Or p (And q r)) False) (Eq (And (Or p q) (Or p r)) False) % 3.52/3.69 Clause #3 (by clausification #[1]): Or (Eq (Or p (And q r)) True) (Eq (And (Or p q) (Or p r)) True) % 3.52/3.69 Clause #4 (by clausification #[2]): Or (Eq (And (Or p q) (Or p r)) False) (Eq (And q r) False) % 3.52/3.69 Clause #5 (by clausification #[2]): Or (Eq (And (Or p q) (Or p r)) False) (Eq p False) % 3.52/3.69 Clause #6 (by clausification #[4]): Or (Eq (And q r) False) (Or (Eq (Or p q) False) (Eq (Or p r) False)) % 3.52/3.69 Clause #7 (by clausification #[6]): Or (Eq (Or p q) False) (Or (Eq (Or p r) False) (Or (Eq q False) (Eq r False))) % 3.52/3.69 Clause #8 (by clausification #[7]): Or (Eq (Or p r) False) (Or (Eq q False) (Or (Eq r False) (Eq q False))) % 3.52/3.69 Clause #10 (by clausification #[8]): Or (Eq q False) (Or (Eq r False) (Or (Eq q False) (Eq r False))) % 3.52/3.69 Clause #12 (by eliminate duplicate literals #[10]): Or (Eq q False) (Eq r False) % 3.52/3.69 Clause #16 (by clausification #[5]): Or (Eq p False) (Or (Eq (Or p q) False) (Eq (Or p r) False)) % 3.52/3.69 Clause #18 (by clausification #[16]): Or (Eq p False) (Or (Eq (Or p r) False) (Eq p False)) % 3.52/3.69 Clause #21 (by clausification #[3]): Or (Eq (And (Or p q) (Or p r)) True) (Or (Eq p True) (Eq (And q r) True)) % 3.52/3.69 Clause #22 (by clausification #[21]): Or (Eq p True) (Or (Eq (And q r) True) (Eq (Or p r) True)) % 3.52/3.69 Clause #23 (by clausification #[21]): Or (Eq p True) (Or (Eq (And q r) True) (Eq (Or p q) True)) % 3.52/3.69 Clause #24 (by clausification #[22]): Or (Eq p True) (Or (Eq (Or p r) True) (Eq r True)) % 3.52/3.69 Clause #26 (by clausification #[24]): Or (Eq p True) (Or (Eq r True) (Or (Eq p True) (Eq r True))) % 3.52/3.69 Clause #27 (by eliminate duplicate literals #[26]): Or (Eq p True) (Eq r True) % 3.52/3.69 Clause #32 (by clausification #[18]): Or (Eq p False) (Or (Eq p False) (Eq p False)) % 3.52/3.69 Clause #34 (by eliminate duplicate literals #[32]): Eq p False % 3.52/3.69 Clause #35 (by backward demodulation #[34, 27]): Or (Eq False True) (Eq r True) % 3.52/3.69 Clause #39 (by clausification #[23]): Or (Eq p True) (Or (Eq (Or p q) True) (Eq q True)) % 3.52/3.69 Clause #44 (by clausification #[35]): Eq r True % 3.52/3.69 Clause #45 (by clausification #[39]): Or (Eq p True) (Or (Eq q True) (Or (Eq p True) (Eq q True))) % 3.52/3.69 Clause #46 (by eliminate duplicate literals #[45]): Or (Eq p True) (Eq q True) % 3.52/3.69 Clause #47 (by forward demodulation #[46, 34]): Or (Eq False True) (Eq q True) % 3.52/3.69 Clause #48 (by clausification #[47]): Eq q True % 3.52/3.69 Clause #49 (by backward demodulation #[48, 12]): Or (Eq True False) (Eq r False) % 3.52/3.69 Clause #50 (by clausification #[49]): Eq r False % 3.52/3.69 Clause #51 (by superposition #[50, 44]): Eq False True % 3.52/3.69 Clause #52 (by clausification #[51]): False % 3.52/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------